There are multiple types of infinity.
While there are also many sizes of infinity, there are two types.
Countable infinity is more “intuitive”—it is the size of the set of all integers.
Uncountable infinity is all real numbers through. In a sense, there’s the countable macro infinity, and the uncountable micro infinity, where there’s an uncountable fractal between 0 and 1, 0 and 0.0001, and so on, because the next number in the set after 0 is 0.(infinity 0's)1
.